Hence the expression of ω in terms of m and k is

Given the expressions;

Equating both expressions we will have;

Divide both equations by 2π

Square both sides

Take the square root of both sides

Hence the expression of ω in terms of m and k is

Hi there!
We can use the equation:
d = x₀ + vt, where:
x₀ = initial distance from the reference point
v = velocity (m/s)
t = time (sec)
Plug in the given values:
d = 248 + 5(49)
d = 493m
Balance would be the answer to this questions